Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 6.4, Problem 1TY
Kind the critical values
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1 for all k, and set o
(ii) Let X1, X2,
that P(Xkb) =
x > 0.
Xn be independent random variables with mean 0, suppose
=
and
Var Xk. Then, for
0x) ≤2 exp-tx+121
Στ
k=1
Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that
E g(X) 0. Then,
E g(|X|)
P(|X|> x) ≤
g(x)
Proof of this Theorem
Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and
set Var X = o². Then, for 0 0,
P(X > x) ≤ e−1x+1²²,
P(|X|> x) ≤ 2e−x+1² 0²
Chapter 6 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 6.1 - In Example 1, the researcher selects a second...Ch. 6.1 - Use the data in Try It Yourself 1 and a 95%...Ch. 6.1 - Use the data in Try It Yourself 1 to construct a...Ch. 6.1 - Use the data in Example 1 and technology to...Ch. 6.1 - Construct a 90% confidence interval for the...Ch. 6.1 - In Example 6, how many student-athletes must the...Ch. 6.1 - When estimating a population mean, are you more...Ch. 6.1 - Which statistic is the best unbiased estimator for...Ch. 6.1 - For the same sample statistics, which level of...Ch. 6.1 - You construct a 95% confidence interval for a...
Ch. 6.1 - In Exercises 58, find the critical value Zc...Ch. 6.1 - In Exercises 58, find the critical value Zc...Ch. 6.1 - In Exercises 58, find the critical value Zc...Ch. 6.1 - In Exercises 58, find the critical value Zc...Ch. 6.1 - Graphical Analysis In Exercises 912, use the...Ch. 6.1 - Graphical Analysis In Exercises 912, use the...Ch. 6.1 - Graphical Analysis In Exercises 912, use the...Ch. 6.1 - Graphical Analysis In Exercises 912, use the...Ch. 6.1 - In Exercises 1316, find the margin of error for...Ch. 6.1 - In Exercises 1316, find the margin of error for...Ch. 6.1 - In Exercises 1316, find the margin of error for...Ch. 6.1 - In Exercises 1316, find the margin of error for...Ch. 6.1 - Matching In Exercises 1720, match the level of...Ch. 6.1 - Matching In Exercises 1720, match the level of...Ch. 6.1 - Matching In Exercises 1720, match the level of...Ch. 6.1 - Matching In Exercises 1720, match the level of...Ch. 6.1 - In Exercises 2124, construct the indicated...Ch. 6.1 - In Exercises 2124, construct the indicated...Ch. 6.1 - In Exercises 2124, construct the indicated...Ch. 6.1 - In Exercises 2124, construct the indicated...Ch. 6.1 - In Exercises 2528, use the confidence interval to...Ch. 6.1 - In Exercises 2528, use the confidence interval to...Ch. 6.1 - In Exercises 2528, use the confidence interval to...Ch. 6.1 - In Exercises 2528, use the confidence interval to...Ch. 6.1 - In Exercises 2932, determine the minimum sample...Ch. 6.1 - In Exercises 2932, determine the minimum sample...Ch. 6.1 - In Exercises 2932, determine the minimum sample...Ch. 6.1 - In Exercises 2932, determine the minimum sample...Ch. 6.1 - Finding the Margin of Error In Exercises 33 and...Ch. 6.1 - Finding the Margin of Error In Exercises 33 and...Ch. 6.1 - Constructing Confidence Intervals In Exercises...Ch. 6.1 - Constructing Confidence Intervals In Exercises...Ch. 6.1 - Constructing Confidence Intervals In Exercises...Ch. 6.1 - Constructing Confidence Intervals In Exercises...Ch. 6.1 - In Exercise 35, does it seem possible that the...Ch. 6.1 - In Exercise 36, does it seem possible that the...Ch. 6.1 - In Exercise 37, does it seem possible that the...Ch. 6.1 - In Exercise 38, does it seem possible that the...Ch. 6.1 - When all other quantities remain the same, how...Ch. 6.1 - Constructing Confidence Intervals In Exercises 45...Ch. 6.1 - Constructing Confidence Intervals In Exercises 45...Ch. 6.1 - Determining a Minimum Sample Size Determine the...Ch. 6.1 - Determining a Minimum Sample Size Determine the...Ch. 6.1 - Cholesterol Contents of Cheese A cheese processing...Ch. 6.1 - Ages of College Students An admissions director...Ch. 6.1 - Paint Can Volumes A paint manufacturer uses a...Ch. 6.1 - Juice Dispensing Machine A beverage company uses a...Ch. 6.1 - Soccer Balls A soccer ball manufacturer wants to...Ch. 6.1 - Tennis Balls A tennis ball manufacturer wants to...Ch. 6.1 - When estimating the population mean, why not...Ch. 6.1 - When all other quantities remain the same, how...Ch. 6.1 - Determine the finite population coection factor...Ch. 6.1 - Use the finite population correction factor to...Ch. 6.1 - Sample Size The equation for determining the...Ch. 6.2 - Find the critical value tc for a 90% confidence...Ch. 6.2 - Construct 90% and 99% confidence intervals for the...Ch. 6.2 - Construct 90% and 95% confidence intervals for the...Ch. 6.2 - You randomly select 18 adult male athletes and...Ch. 6.2 - Finding Critical Values of t In Exercises 14, find...Ch. 6.2 - Finding Critical Values of t In Exercises 14, find...Ch. 6.2 - Finding Critical Values of t In Exercises 14, find...Ch. 6.2 - Finding Critical Values of t In Exercises 14, find...Ch. 6.2 - In Exercises 58, find the margin of error for the...Ch. 6.2 - In Exercises 58, find the margin of error for the...Ch. 6.2 - In Exercises 58, find the margin of error for the...Ch. 6.2 - In Exercises 58, find the margin of error for the...Ch. 6.2 - In Exercises 912, construct the indicated...Ch. 6.2 - In Exercises 912, construct the indicated...Ch. 6.2 - In Exercises 912, construct the indicated...Ch. 6.2 - In Exercises 912, construct the indicated...Ch. 6.2 - In Exercises 1316, use the confidence interval to...Ch. 6.2 - In Exercises 1316, use the confidence interval to...Ch. 6.2 - In Exercises 1316, use the confidence interval to...Ch. 6.2 - In Exercises 1316, use the confidence interval to...Ch. 6.2 - Constructing a Confidence Interval In Exercises...Ch. 6.2 - Constructing a Confidence Interval In Exercises...Ch. 6.2 - Constructing a Confidence Interval In Exercises...Ch. 6.2 - Constructing a Confidence Interval In Exercises...Ch. 6.2 - You research commute times to work and find that...Ch. 6.2 - You research driving distances to work and find...Ch. 6.2 - You research prices of cell phones and find that...Ch. 6.2 - You research repair costs of mobile devices and...Ch. 6.2 - Constructing a Confidence Interval in Exercises...Ch. 6.2 - Constructing a Confidence Interval in Exercises...Ch. 6.2 - Constructing a Confidence Interval in Exercises...Ch. 6.2 - Constructing a Confidence Interval in Exercises...Ch. 6.2 - In Exercise 25, the population mean SAT score is...Ch. 6.2 - In Exercise 28, the population mean weekly time...Ch. 6.2 - Constructing a Confidence Interval Ir. Exercises...Ch. 6.2 - Constructing a Confidence Interval Ir. Exercises...Ch. 6.2 - In Exercise 31, the population mean salary is...Ch. 6.2 - In Exercise 32, the population mean salary is...Ch. 6.2 - Choosing a Distribution In Exercises 3538, use the...Ch. 6.2 - Choosing a Distribution In Exercises 3538, use the...Ch. 6.2 - Choosing a Distribution In Exercises 3538, use the...Ch. 6.2 - Choosing a Distribution In Exercises 3538, use the...Ch. 6.2 - In Exercise 36, does it seem possible that the...Ch. 6.2 - In Exercise 38, does it seem possible that the...Ch. 6.2 - Tennis Ball Manufacturing A company manufactures...Ch. 6.2 - Light Bulb Manufacturing A company manufactures...Ch. 6.2 - Prob. 1ACh. 6.2 - In a random sample of 24 high school students, the...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.3 - A poll surveyed 4780 U.S. adults about how often...Ch. 6.3 - Use the data in Try It Yourself 1 to construct a...Ch. 6.3 - Use the data in Example 3 to construct a 99%...Ch. 6.3 - A researcher is estimating the population...Ch. 6.3 - True or False? In Exercises 1 and 2, determine...Ch. 6.3 - True or False? In Exercises 1 and 2, determine...Ch. 6.3 - Finding p and q In Exercises 36, let p be the...Ch. 6.3 - Finding p and q In Exercises 36, let p be the...Ch. 6.3 - Finding p and q In Exercises 36, let p be the...Ch. 6.3 - Finding p and q In Exercises 36, let p be the...Ch. 6.3 - In Exercises 710, use the confidence interval to...Ch. 6.3 - In Exercises 710, use the confidence interval to...Ch. 6.3 - In Exercises 710, use the confidence interval to...Ch. 6.3 - In Exercises 710, use the confidence interval to...Ch. 6.3 - Constructing Confidence Intervals In Exercises 11...Ch. 6.3 - Constructing Confidence Intervals In Exercises 11...Ch. 6.3 - Constructing Confidence Intervals In Exercises 13...Ch. 6.3 - Constructing Confidence Intervals In Exercises 13...Ch. 6.3 - LGBT Identification In a survey of 1,626,773 U.S....Ch. 6.3 - Transgender Bathroom Policy In a survey of 1000...Ch. 6.3 - Congress You wish to estimate, with 95%...Ch. 6.3 - Genetically Modified Organisms You wish to...Ch. 6.3 - Fast Food You wish to estimate, with 90%...Ch. 6.3 - Alcohol-Impaired Driving You wish to estimate,...Ch. 6.3 - In Exercise 11, does it seem possible that the...Ch. 6.3 - In Exercise 14, does it seem possible that the...Ch. 6.3 - In Exercise 17(b), would a sample size of 200 be...Ch. 6.3 - In Exercise 20(b), would a sample size of 600 be...Ch. 6.3 - Constructing Confidence Intervals In Exercises 25...Ch. 6.3 - Constructing Confidence Intervals In Exercises 25...Ch. 6.3 - Constructing Confidence Intervals In Exercises 27...Ch. 6.3 - Constructing Confidence Intervals In Exercises 27...Ch. 6.3 - Translating Statements In Exercises 2934,...Ch. 6.3 - Translating Statements In Exercises 2934,...Ch. 6.3 - Prob. 31ECh. 6.3 - Translating Statements In Exercises 2934,...Ch. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 1ACh. 6.3 - Prob. 2ACh. 6.4 - Kind the critical values R2 and I2 for a 90%...Ch. 6.4 - Construct the 90% and 95% confidence intervals for...Ch. 6.4 - Does a population have to be normally distributed...Ch. 6.4 - What happens to the shape of the chi-square...Ch. 6.4 - Prob. 3ECh. 6.4 - Finding Critical Values for X2 In Exercises 38,...Ch. 6.4 - Prob. 5ECh. 6.4 - Finding Critical Values for X2 In Exercises 38,...Ch. 6.4 - Finding Critical Values for X2 In Exercises 38,...Ch. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - In Exercises 912, construct the indicated...Ch. 6.4 - Prob. 13ECh. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6 - The waking times (in minutes past 5:00 A.M.) of 40...Ch. 6 - The driving distances (in miles) to work of 30...Ch. 6 - Prob. 6.1.3RECh. 6 - Prob. 6.1.4RECh. 6 - In Exercises 5 and 6, use the confidence interval...Ch. 6 - Prob. 6.1.6RECh. 6 - Prob. 6.1.7RECh. 6 - Prob. 6.1.8RECh. 6 - In Exercises 912, find the critical value tc for...Ch. 6 - In Exercises 912, find the critical value tc for...Ch. 6 - In Exercises 912, find the critical value tc for...Ch. 6 - Prob. 6.2.12RECh. 6 - Prob. 6.2.13RECh. 6 - Prob. 6.2.14RECh. 6 - Prob. 6.2.15RECh. 6 - Prob. 6.2.16RECh. 6 - Prob. 6.2.17RECh. 6 - Prob. 6.2.18RECh. 6 - In Exercises 19-22, let p be the population...Ch. 6 - Prob. 6.3.20RECh. 6 - In Exercises 19-22, let p be the population...Ch. 6 - Prob. 6.3.22RECh. 6 - In Exercise 19, does it seem possible that the...Ch. 6 - Prob. 6.3.24RECh. 6 - Prob. 6.3.25RECh. 6 - Prob. 6.3.26RECh. 6 - Prob. 6.4.27RECh. 6 - Prob. 6.4.28RECh. 6 - Prob. 6.4.29RECh. 6 - In Exercises 2730, find the critical values R2 and...Ch. 6 - Prob. 6.4.31RECh. 6 - In Exercises 31 and 32, assume the sample is from...Ch. 6 - The winning times (in hours) for a sample of 30...Ch. 6 - The data set represents the amounts of time (in...Ch. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Refer to the data set in Exercise 3. Assume the...Ch. 6 - In a survey of 20% U.S. adults, 1740 think...Ch. 6 - The data set represents the weights (in pounds) of...Ch. 6 - The data set represents the scores of 12 randomly...Ch. 6 - Use the standard normal distribution or the...Ch. 6 - The Safe Drinking Water Act, which was passed in...Ch. 6 - The Safe Drinking Water Act, which was passed in...Ch. 6 - The Safe Drinking Water Act, which was passed in...Ch. 6 - Since 1935, the Gallup Organization has conducted...Ch. 6 - THE GALLUP ORGANIZATION www.gallup.com Since 1935,...Ch. 6 - Since 1935, the Gallup Organization has conducted...Ch. 6 - Since 1935, the Gallup Organization has conducted...
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